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2 years ago

HELP! As Soon As Possible (ASAP)

Mathematics

1 answer:

nevsk [136]2 years ago

8 0

Answer: the first picture is 36 cm^2.

Step-by-step explanation:

It's 36 cm^2 because you need to multiply the length and breadth which is 12*3= 36. Hope this helped !

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How do I factorise 2t^2 + 5t +2

alekssr [168]

$2t^2+5t+2\\\\a=2;\ b=5;\ c=2\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ t_1=\frac{-b-\sqrt\Delta}{2a}\ and\ t_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=5^2-4\cdot2\cdot2=25-16=9;\ \sqrt\Delta=\sqrt9=3\\\\t_1=\frac{-5-3}{2\cdot2}=\frac{-8}{4}=-2;\ t_2=\frac{-5+3}{2\cdot2}=\frac{-2}{4}=-\frac{1}{2}\\\\2t^2+5t+2=2(x+2)(x+\frac{1}{2})$

5 0

3 years ago

Solve the proportion 15/6 = 10/p

V125BC [204]

Answer:

p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

15p/15 = 60/15

p = 4

The solution is p = 4.

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

For example, to solve ...

2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

Any proportion can be written 4 ways:

$\dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}$

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

6/15 = p/10 ⇒ p = 10(6/15) = 4

4 0

1 year ago

Read 2 more answers

Find the total surface area of the cylinder shown. Leave the answer in terms of π. A cylinder with radius 4.25 inches and height

olga_2 [115]

Answer:

$87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}$

Step-by-step explanation:

Given Surface Area of Cylinder = $2\pi rh+2\pi r^{2}$ ,

and also given r = 4.25 inches and h = 6 inches.

Let's Substitute r and h into the formula to find the total surface area.

Surface Area of Cylinder = $2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}$

5 0

1 year ago

What is the surface area of the cylinder?

Ilya [14]

Answer:

Option number 3: 1,356.48 cm².

3 0

2 years ago

Read 2 more answers

What is slope of line f?

padilas [110]

<h3>Answer: The fraction 2/5</h3>

=========================================================

Explanation:

We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.

From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).

This shows that,

slope = rise/run = 2/5

The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.

-------

Optionally you can use the slope formula

m = (y2-y1)/(x2-x1)

with any two points you want from the graph.

4 0

2 years ago